Oblicz najprostszym sposobem:
(3³)⁵ - 2 × (3²)⁶ - 15 × 3^{11} : (3⁴)³ = 3^{15} - 2 × 3^{12} - 15 × 3^{11} : 3^{12} = 3^{15} - 2 × 3^{12} - 15 × 3⁻¹ = 3^{15} - 2 × 3^{12} - 5 (15×3⁻¹ = 15x⅓ = 15:3=5, stąd 5) = 3^{12}(3³ - 2) (wyłączyłem 3^{12} przed nawias) = 3^{12}(9-2) = 3^{12} × 7 = 21^{12}
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(3³)⁵ - 2 × (3²)⁶ - 15 × 3^{11} : (3⁴)³ = 3^{15} - 2 × 3^{12} - 15 × 3^{11} : 3^{12} = 3^{15} - 2 × 3^{12} - 15 × 3⁻¹ = 3^{15} - 2 × 3^{12} - 5 (15×3⁻¹ = 15x⅓ = 15:3=5, stąd 5) = 3^{12}(3³ - 2) (wyłączyłem 3^{12} przed nawias) = 3^{12}(9-2) = 3^{12} × 7 = 21^{12}